## High-Performance Scientific Computing: Algorithms and ApplicationsMichael W. Berry, Kyle A. Gallivan, Efstratios Gallopoulos, Ananth Grama, Bernard Philippe, Yousef Saad, Faisal Saied Advances in the development of parallel algorithms and system software now enable the ever-increasing power of scalable high-performance computers to be harnessed for scientific computing applications at fidelities that rival – and in many cases exceed – experimental methodologies. This comprehensive text/reference, inspired by the visionary work of Prof. Ahmed H. Sameh, represents the state of the art in parallel numerical algorithms, applications, architectures, and system software. Articles in this collection address various challenges arising from concurrency, scale, energy efficiency, and programmability, and associated solutions that have shaped the current high-performance computing landscape. These solutions are discussed in the context of diverse applications, ranging from scientific simulations to large-scale data analysis and mining. Topics and features: includes contributions from an international selection of world-class authorities, inspired by the work of Prof. Ahmed H. Sameh and his involvement in parallel numerical algorithm design since Illiac IV and the University of Illinois Cedar multiprocessor; examines various aspects of parallel algorithm-architecture interaction through articles on computational capacity-based codesign and automatic restructuring of programs using compilation techniques; reviews emerging applications of numerical methods in information retrieval and data mining; discusses the latest issues in dense and sparse matrix computations for modern high-performance systems, multicores, manycores and GPUs, and several perspectives on the Spike family of algorithms for solving linear systems; presents outstanding challenges and developing technologies, and puts these in their historical context. This authoritative reference is a must-read for researchers and graduate students in disciplines as diverse as computational fluid dynamics, signal processing, and structural mechanics. Professionals involved in applications that rely on high-performance computers will also find the text an essential resource. |

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### Contents

Parallel Numerical Computing from Illiac IV to ExascaleThe Contributions of Ahmed H Sameh | 1 |

Computational CapacityBased Codesign of Computer Systems | 45 |

Measuring Computer Performance | 75 |

A Compilation Framework for the Automatic Restructuring of PointerLinked Data Structures | 97 |

Dense Linear Algebra on Accelerated Multicore Hardware | 123 |

The Explicit Spike Algorithm Iterative Solution of the Reduced System | 147 |

The Spike Factorization as Domain Decomposition Method Equivalent and Variant Approaches | 157 |

Parallel Solution of Sparse Linear Systems | 171 |

A Preconditioned Scheme for Nonsymmetric SaddlePoint Problems | 219 |

Effect of Ordering for Iterative Solvers in Structural Mechanics Problems | 251 |

Scaling Hypres Multigrid Solvers to 100000 Cores | 261 |

A Riemannian DennisMoré Condition | 281 |

A JumpStart of Nonnegative Least Squares Solvers | 295 |

Fast Nonnegative Tensor Factorization with an ActiveSetLike Method | 311 |

Knowledge Discovery Using Nonnegative Tensor Factorization with Visual Analytics | 327 |

343 | |

Parallel BlockJacobi SVD Methods | 185 |

Robust and Efﬁcient Multifrontal Solver for Large Discretized PDEs | 199 |